On isospectral arithmetical spaces

DOI10.1353/ajm.2007.0016zbMath1131.58023arXivmath/0409386OpenAlexW1976251134WikidataQ126110956 ScholiaQ126110956MaRDI QIDQ5294016

C. S. Rajan

Publication date: 9 July 2007

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409386

zbMATH Keywords

latticespectrumLaplace-Beltrami operatorquaternion algebralocally symmetric spacenumber fieldadele ringrepresentation equivalenceHasse-Weil zeta function

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Discrete subgroups of Lie groups (22E40) Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Isospectrality (58J53)

Related Items (3)

Selectivity in division algebras ⋮ Small isospectral and nonisometric orbifolds of dimension 2 and 3 ⋮ Quantum equivalent magnetic fields that are not classically equivalent

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